I can’t imagine that these things are all that stable to begin with (I could quip about that being a commonality with their owners, I suppose). Perhaps pushing the wheels out beyond the stool’s footprint would make them more stable, particularly the faster ones…
(Personally, I think the cooler option is much, well, cooler. And more stable and less likely to cause injury at faster speeds. I think a couch, a recliner, or a cooler might be stable at 55 MPH, but there’s no way you could be stable on a barstool at 55 mph…)